Combine and Conquer

[Nerva Regis]

Combine and Conquer

Phase Change - Narchrahtite

Quasicrystal state

A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available space, but it lacks translational symmetry. While crystals, according to the classical crystallographic restriction theorem, can possess only two, three, four, and six-fold rotational symmetries, the [redacted] diffraction pattern of quasicrystals shows sharp peaks with other symmetry orders, for instance five-fold. Interestingly enough, Narchrahtite does look similar to something I have read about in the data banks acquired from the [redacted] Liner. Icosahedrite is the first known naturally occurring quasicrystal phase. It has the composition Al63Cu24Fe13 . Evidence shows that the sample is actually extradimensional in origin, delivered to the planet [redacted] by a CV3 carbonaceous chondrite asteroid that dates back aprox 6.5 *10^9 years. Classical theory of crystals reduces crystals to point lattices where each point is the center of mass of one of the identical units of the crystal. The structure of crystals can be analyzed by defining an associated group. Quasicrystals, on the other hand, are composed of more than one type of unit, so, instead of lattices, quasilattices must be used. Instead of groups, groupoids, the mathematical generalization of groups in category theory, is the appropriate tool for studying quasicrystals. I do believe that my analysis of Narchrahtite sheds light on the most basic notions related to quantum critical point observed in heavy fermion metals. Experimental measurements on the Narchrahtite-Yttrium quasicrystal have revealed a quantum critical point defining the divergence of the magnetic susceptibility as temperature tends to zero. It is suggested that the electronic system of some quasicrystals is located at quantum critical point without tuning, while quasicrystals exhibit the typical scaling behaviour of their thermodynamic properties and belong to the famous family of heavy-fermion metals.

Narchrahtite - microscopic structure